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Please explain how to find the proportional relationship.

Either Table A or Table B shows a proportional relationship.
Table A
X 1 3 4 5
Y 2 6 8 10

Table B
X 1 2 4 6
Y 3 4 6 8
Plot the points from the table that shows a proportional relationship.​

Please explain how to find the proportional relationship. Either Table A or Table-example-1
User Sophtware
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Answer:

The table A represent a proportional relationship

The table B not represent a proportional relationship

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
k=(y)/(x) or
y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each table

Table A

Find the value of k

For x=1,y=2 ------>
k=(2)/(1)=2

For x=3,y=6 ------>
k=(6)/(3)=2

For x=4,y=8 ------>
k=(8)/(4)=2

For x=5,y=10 ------>
k=(10)/(5)=2

All the values of k are the same

so

The table A represent a proportional relationship

The equation of the proportional relationship is equal to


y=2x

Table B

Find the value of k

For x=1,y=3 ------>
k=(3)/(1)=3

For x=2,y=4 ------>
k=(4)/(2)=2

The values of k are different

so

The table B not represent a proportional relationship

User DMKE
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